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Finding the Fourth Proportional to 25,097.50, 37,648.41 and 6,629.50

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Solution

The fourth proportional to 25,097.50, 37,648.41 and 6,629.50 is: 9,944.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.50 : 37,648.41 = 6,629.50 : x
  2. Step 2: Convert to fraction form
    25,097.50/37,648.41 = 6,629.50/x
  3. Step 3: Cross multiply
    25,097.50x = 37,648.41 × 6,629.50
  4. Step 4: Simplify right side
    25,097.50x = 249,590,134.10
  5. Step 5: Solve for x
    x = 249,590,134.10/25,097.50
  6. Step 6: Final answer
    x = 9,944.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.